# MAT1110 – Calculus and Linear Algebra

## Course content

This course gives an introduction to the theory of functions of several variables with emphasis on differentiation, integration, and interative, numerical methods. The course also contains introductions to MATLAB, series, and linear algebra in Euclidean spaces. MAT1110 is a natural continuation of MAT1100 – Calculus and a basis for MAT1120 – Linear Algebra.

## Learning outcome

After completing the course

• you can parametrize curves and surfaces and use these representations to create graphical figures and to compute arc length, line integrals and surface area
• you know the definition of double and triple integrals, can calculate such integrals by means of different coordinate representations, and use them to solve practical problems
• you can solve theoretical and practical optimization problems with and without constraints
• you are familiar with the completeness property of Euclidean spaces, know how they form a foundation for numerical methods, and can write programs in MATLAB or Python to find zeros and fixed points of functions
• you master Gauss elimination, are familiar with the concepts of linear independence and basis, and can find eigenvalues and eigenvectors and use them to analyze practical problems from both an analytical and a numerical perspective
• you know what it means for a series to converge, can use tests to decide convergence and find domains of convergence, and can determine the Taylor series of a function
• you can carry out simple mathematical arguments and computations and present them in a clear and coherent way with suitable notation and terminology.

Students who are admitted to study programmes at UiO must each semester register which courses and exams they wish to sign up for in Studentweb.

In addition to fulfilling the Higher Education Entrance Qualification, applicants have to meet the following special admission requirements:

• Mathematics R1 (or Mathematics S1 and S2) + R2

And in addition one of these:

• Physics (1+2)
• Chemistry (1+2)
• Biology (1+2)
• Information technology (1+2)
• Geosciences (1+2)
• Technology and theories of research (1+2)

The special admission requirements may also be covered by equivalent studies from Norwegian upper secondary school or by other equivalent studies (in Norwegian).

## Teaching

4 hours of lectures and 2 hours of exercise sessions in groups per week throughout the semester.

The number of groups offered can be adjusted during the semester, depending on attendance.

## Examination

Midterm exam which counts 1/3 towards the final grade.

Final written exam which counts 2/3 towards the final grade.

This course has 2 mandatory assignments that must be approved before you can sit the final exam.

### Examination support material

Midterm examination: No examination support material is allowed.

Final examination: Approved calculator.

Information about approved calculators (Norwegian only)

### Language of examination

The examination text is given in Norwegian. You may submit your response in Norwegian, Swedish, Danish or English.

### Resit an examination

This course offers both postponed and resit of examination. Read more:

### Special examination arrangements, use of sources, explanations and appeals

See more about examinations at UiO

Last updated from FS (Common Student System) Nov. 26, 2022 10:49:03 AM

Credits
10
Level
Bachelor
Teaching
Spring
Examination
Spring
Teaching language
Norwegian

## Contact

Department of Mathematics